{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 基础概念\n",
    "1. 向量是多维空间中的对象\n",
    "2. 二维世界中需要使用两个信息来描述其具体位置：水平位置和垂直位置\n",
    "3. 为了描述点在二维平面中的位置，还需要一个参考点：原点\n",
    "4. 二维向量是平面上相对于原点的一个点"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![jupyter](../images/img2-1.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 如何表示二维向量\n",
    "1. 以原点为坐标轴的0点，建立一个(x,y)坐标轴"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x507.692 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from vector_drawing import *\n",
    "dino_vectors = [(6,4),(3,1),(1,2),(-1,5),(-2,5),(-3,4),(-4,4),(-5,3),(-5,2),(-2,2),(-5,1),(-4,0),(-2,1),(-1,0),(0,-3),(-1,-4),(1,-4),(2,-3),(1,-2),(3,-1),(5,1)]\n",
    "draw(\n",
    "    Points(*dino_vectors),\n",
    "    Segment((6,4),(3,1)),\n",
    "    Segment((3,1),(1,2)),\n",
    "    Segment((1,2),(-1,5)),\n",
    "    Segment((-1,5),(-2,5)),\n",
    "    Segment((-2,5),(-3,4)),\n",
    "    Segment((-3,4),(-4,4)),\n",
    "    Segment((-4,4),(-5,3)),\n",
    "    Segment((-5,3),(-5,2)),\n",
    "    Segment((-5,2),(-2,2)),\n",
    "    Segment((-2,2),(-5,1)),\n",
    "    Segment((-5,1),(-4,0)),\n",
    "    Segment((-4,0),(-2,1)),\n",
    "    Segment((-2,1),(-1,0)),\n",
    "    Segment((-1,0),(0,-3)),\n",
    "    Segment((0,-3),(-1,-4)),\n",
    "    Segment((-1,-4),(1,-4)),\n",
    "    Segment((1,-4),(2,-3)),\n",
    "    Segment((2,-3),(1,-2)),\n",
    "    Segment((1,-2),(3,-1)),\n",
    "    Segment((3,-1),(5,1)),\n",
    "    Segment((5,1),(6,4))\n",
    "    )"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***练习2.2 在平面上画出点(2,-2)和与之对应的箭头***"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw(\n",
    "    Points(*[(2,-2)]),\n",
    "    Arrow((2,-2))\n",
    "    )"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***练习2.4 构建一个以dino_vectors为顶点的Polygon对象，画出将每个点相连的恐龙图像***"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x507.692 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw(\n",
    "    Points(*dino_vectors),\n",
    "    Polygon(*dino_vectors)\n",
    "    )"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 练习2.5：当X坐标在-10到10的范围内时，使用draw函数绘制表示向量(x, x**2)的点。\n",
    "\n",
    "***以下代码解释***\n",
    "\n",
    "当执行 (x, x\\*\\*2) for x in range(-10, 11) 这个表达式时，它使用了列表推导式的语法。列表推导式是一种简洁的方式，用于在Python中创建列表。\n",
    "在这个表达式中，我们使用了 for 循环来迭代 range(-10, 11) 这个范围内的每个元素，即从 -10 到 10。对于每个迭代的元素 x，我们创建了一个包含两个元素的元组 (x, x\\*\\*2)。其中，第一个元素是 x，第二个元素是 x 的平方 x\\*\\*2。\n",
    "通过这个列表推导式，我们生成了一个包含所有坐标对的列表。每个坐标对由 x 和 x 的平方组成。因此，最终的列表将包含从 (-10, 100) 到 (10, 100) 的所有坐标对。\n",
    "在示例代码中，我们将生成的坐标对列表存储在 coordinates 变量中，并使用 print() 函数将其打印输出。输出结果是一个包含所有坐标对的列表，每个坐标对由一个元组表示。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw(\n",
    "    Points(*[(x,x**2) for x in range(-10,11)]),\n",
    "    grid = (1,10),\n",
    "    nice_aspect_ratio = False\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.2 平面向量运算"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***2.2.1 向量加法***\n",
    "1. ($x_1$ , $y_1$) + ($x_2$ , $y_2$) = ($x_1$ + $x_2$ ,  $y_1$ + $y_2$)\n",
    "2. 原向量添加新向量，意味着移动或平移一个现有的点或点的集合。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x560 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from vectors import *\n",
    "dino_vectors2 = [add((-1.5,-2.5),v) for v in dino_vectors]\n",
    "draw(\n",
    "    Points(*dino_vectors, color = blue),\n",
    "    Polygon(*dino_vectors, color = blue),\n",
    "    Points(*dino_vectors2, color = red),\n",
    "    Polygon(*dino_vectors2, color = red)\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***2.2.2 向量的分量和长度***\n",
    "1. 分量：是将向量分成(x , 0) + (0 , y)的形式。这样做在现实中有重要意义，因为人不可能一直走直线，需要拐弯。\n",
    "2. 长度: 是x或者y相对原点到它表示的距离。\n",
    "3. 可以利用勾股定理计算未分量时的向量长度：$c^2 = x^2 + y^2$,$c = \\sqrt{x^2 + y^2}$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "from math import sqrt\n",
    "# 勾股定理技术\n",
    "def length(v):\n",
    "    return sqrt(v[0]**2 + v[1]**2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw(\n",
    "    Points(*[(4,3)]),\n",
    "    Arrow((4,3)),\n",
    "    Arrow((4,0)),\n",
    "    Arrow((4,3),(4,0))\n",
    "    )"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***2.2.4 向量与数相乘***\n",
    "\n",
    "1. 向量乘以数的运算称为标量乘法。\n",
    "2. 处理向量时，普通的数通常称为标量(Scalar)。\n",
    "3. 运算的效果是将向量按给定的系数进行缩放(scale)。\n",
    "4. 像图片缩放。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "def multiply(v,m):\n",
    "    draw(\n",
    "    Points(*[(v[0]*m,v[1]*m)]),\n",
    "    Points(*[v]),\n",
    "    Arrow(v),\n",
    "    Arrow((v[0]*m,v[1]*m))\n",
    "    )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x436.364 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "multiply((6,4),-(1/2))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***2.2.3 减法、位移和距离***\n",
    "1. 对于任一向量u,负向量-v具有相同的长度，但指向相反的方向。\n",
    "2. x-y = x+(-y)\n",
    "3. 位移是一个向量，距离是一个标量(数)\n",
    "4. 两个向量之间的差是位移\n",
    "5. 两个向量之间的差的长度是距离，就是三角形的斜边"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x428.571 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# u = (-1,3)  w = (2,2)  v - w = (-3,1)\n",
    "draw(\n",
    "    Points((2,2),(-1,3),(-3,1)),\n",
    "    Arrow((-1,3),(2,2)),\n",
    "    Arrow((-1,3)),\n",
    "    Arrow((-3,1)),\n",
    "    Arrow((2,2))\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***练习2.7 通过将所有向量各自的x坐标和y坐标相加，可以实现任意数量的向量相加。例如，向量和(1, 2) + (2, 4) + (3, 6) + (4, 8)有x分量1 + 2 + 3 + 4 = 10与y分量2 + 4 + 6 + 8 = 20，结果为(10, 20)。实现新的add函数，接收任意多个向量作为参数。***"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "def addnew(*datas):\n",
    "    return (sum(v[0] for v in datas),sum(v[0] for v in datas))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(10, 10)\n"
     ]
    }
   ],
   "source": [
    "print(addnew((1,2),(2,4),(3,6),(4,8)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***练习2.8 实现函数translate(translation, vectors)，接收一个平移向量和一个向量列表，返回一个根据平移向量平移后的向量列表。例如，对于translate ((1,1), [(0,0), (0,1,), (-3,-3)]) ，它应该返回[(1,1), (1,2), (-2, -2)]。***"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "def translate(translation, vectors):\n",
    "    return [(v[0]+translation[0] , v[1]+translation[1]) for v in vectors]\n",
    "#return [add(translation,v) for v in vectors]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[(1, 1), (1, 2), (-2, -2)]\n"
     ]
    }
   ],
   "source": [
    "print(translate((1,1),[(0,0), (0,1,), (-3,-3)]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***练习2.9（小项目）：向量之和u+w与w+u结果相同。用坐标形式的向量和的定义来解释其原因。同时，用图像来说明为什么这在几何上是成立的。***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "解: 设 u=(a,b) 和w=(c,d).其中a,b,c,d都是实数。u+w = (a+c , b+d),w+u = (c + d , d + b).根据 x-y = x+(-y)证明，实数的加减没有顺序区别，\n",
    "    所以u+w=w+u."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![jupyter](../images/img2-2.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***练习2.10 在下图所示的三个箭头向量（标为v、u和w）中，哪一对的和对应的箭头最长？哪一对的和对应的箭头最短？***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![jupyter](../images/img2-3.jpg)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "使用首尾加法测量，使用勾股定理求最长最短。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![jupyter](../images/img2-4.jpg)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***练习2.11（小项目）：实现一个处理向量加法的Python函数，显示100个相互不重叠的恐龙图像。这体现了计算机图形学的威力。想象一下，手绘2100个坐标对是一件多么乏味的事情！***"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "def hundred_dinos():\n",
    "    translations = [(12*x,10*y) for x in range(-5,5) for y in range(-5,5)]\n",
    "    dinos = [Polygon(*translate(t,dino_vectors),color=blue) for t in translations]   \n",
    "    draw(*dinos, grid=None, axes=None, origin=None)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x499.16 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "hundred_dinos()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***练习2.15：dino_vectors列表中哪个向量的长度最长？用我们实现的length函数快速计算出答案。***"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(6, 4)\n"
     ]
    }
   ],
   "source": [
    "print(max(dino_vectors,key = length))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***练习2.17：写一个Python函数scale(s,v)，将输入向量u和输入标量s相乘。***"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "def scale(s,v):\n",
    "    return (s*v[0],s*v[1])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***练习2.18（小项目）：用代数方法证明，将坐标按照一个系数缩放，会将向量的长度以同等系数缩放。假设一个长度为c的向量坐标为O。证明，对于任意非负实数s，(sa , sb)的长度是sc。（s不能是负值，因为向量的长度不可能为负。）(代数方法证明：计算)***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "解：用符号|(a,b)|来表示向量(a,b)的长度，从题目可知：c = $ \\sqrt{x^2 + y^2}$ = |(a,b)|\n",
    "   计算(sa,sb)的长度：(sa,sb) =$ \\sqrt{(sa)^2 + (sb)^2}$ = $\\sqrt{(s)^2 (a^2 + b^2)}$ = |s| * $\\sqrt{a^2 + b^2}$ = |s| * c\n",
    "   又因 s不能是负值，所以|s|=s,缩放后的长度为sc"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***练习2.19（小项目）：假定z = (-1,1)和u=(1,1)，而r和s是实数，并且假设-3<r<3且-1<s<1。在平面上，向量r\\*z + s\\*u可能的终点是哪里？请注意，向量的运算顺序和数的运算顺序一致。我们假设先进行标量乘法，然后进行向量加法（除非有括号）。***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "解：取(1)r=-3 , s =-1。(2)r=-3,s=1。(3)r=3 ,s =-1。(4)r=3,s=1。四种情况，代入计算得到：(2,-4),(4,-2),(-4,2),(-2,4)这四个角的范围"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from random import uniform\n",
    "u = (-1,1)\n",
    "v = (1,1)\n",
    "def random_r():\n",
    "    return uniform(-3,3)\n",
    "def random_s():\n",
    "    return uniform(-1,1)\n",
    "possibilities = [add(scale(random_r(),u),scale(random_s(),v)) for i in range(0,500)]\n",
    "draw(\n",
    "    Points(*possibilities)\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***练习2.20：用代数法证明为什么一个向量和其负向量具有相同的长度。\n",
    "提示：将向量坐标及其负向量坐标代入勾股定理的公式。***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "解：c = $\\sqrt{a^2 + b^2}$ =  $\\sqrt{(-a)^2 + (-b)^2}$ = $\\sqrt{(-a)(-a) + (-b)(-b)}$ = $\\sqrt{a^2 + b^2}$ = c "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***练习2.21：在如图2-33所示的七个用箭头表示的向量中，哪两个是一对相反的向量？***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![jupyter](../images/img2-5.jpg)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$v_3$ 和$v_7$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***练习2.22：假定u是任意二维向量。u+(-u)的坐标是什么？***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "解：设u=(a,b),u+(-u) = (a,b)+(-a,-b) = (a-a,b-b)=(0,0)=原点"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***练习 2.23：对于向量u=(-2,0)、v=(1.5,1.5)和w=(4,1)，v-w、u-v和w-u的结果分别是什么？***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "解：v-w = (1.5 , 1.5) - (4 , 1) = (-2.5 , 0.5). u-v = (-2 , 0) - (1.5 , 1.5) = (-3.5 , -1.5). w-u = (4,1)-(-2,0) = (6,1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***练习2.24：实现Python函数subtract(v1,v2)，返回v1 - v2的结果。该函数接收两个二维向量作为输入，返回一个二维向量作为输出。***"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(-2.5, 0.5)\n"
     ]
    }
   ],
   "source": [
    "# 两个向量之间的差是位移\n",
    "def subtract(v1,v2):\n",
    "    return (v1[0]-v2[0] , v1[1]-v2[1])\n",
    "print(subtract((1.5 , 1.5) ,(4 , 1)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***练习2.25：实现Python函数distance(v1,v2)，返回两个输入向量之间的距离。（注意：上一个练习中的subtract函数已经返回了两个向量之间的位移。）\n",
    "实现另一个Python函数perimeter(vectors)，它接收一个向量列表作为参数，并返回每个向量到下一个向量的距离之和（包含末位向量与首位向量之间的距离），以此来获取向量集合dino_vectors所定义的恐龙的周长。***"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2.5495097567963922\n",
      "4.0\n",
      "44.77115093694563\n"
     ]
    }
   ],
   "source": [
    "# 两个向量之间的差的长度就是距离，用勾股定理可以计算\n",
    "def distance(v1,v2):\n",
    "    return length(subtract(v1,v2))\n",
    "print(distance((1.5 , 1.5) ,(4 , 1)))\n",
    "\n",
    "def perimeter(vectors):\n",
    "    # %len(vectors) 是为了处理最后一个到第一个的向量之和\n",
    "    distances = [distance(vectors[i],vectors[(i+1)%len(vectors)])\n",
    "                 for i in range(0,len(vectors))]\n",
    "    return sum(distances)\n",
    "print(perimeter([(1,0),(1,1),(0,1),(0,0)]))\n",
    "print(perimeter(dino_vectors))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***练习2.26（小项目）：令u为向量(1, -1)。假定有另一个正整数坐标为(n,m)（n>m）的向量v，且它与u的距离为13，那么从u到v的位移是多少？\n",
    "提示：可以使用Python，通过穷举的方式搜索向量v。***"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(13, 4)\n"
     ]
    }
   ],
   "source": [
    "u = (1,-1)\n",
    "for n in range(-12,15):\n",
    "    for m in range(-14,13):\n",
    "        if distance((n,m),u) == 13 and  n > m > 0:\n",
    "            print((n,m))"
   ]
  }
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